This paper considers neutron pairing interaction in even neutron-rich nickel isotopes $^{70-76}$Ni. The model of zero-range pairing forces is used to study the formation of ground state multiplets with seniority $\nu = 2$ as neutron $1g_{9/2}$ is gradually filled. Mass relation based on masses of four neighbouring nuclei is shown to yield satisfactory splitting of the ground state multiplets, as well as reproduce high-spin excited states in the isotopes under consideration.
$^1$Department of General Nuclear Physics, Faculty of Physics, M.V.Lomonosov Moscow State University, chair of General Nuclear Physics.\
$^2$D.V.Scobeltsyn Institute of Nuclear Physics,Lomonosov Moscow State University,
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